Inverse Source Problems for Wave Propagation
报 告 人:: 李培军
报告地点:: 数学与统计学院403室
报告时间:: 2017年07月18日星期二09:00-10:30
报告简介:

The inverse source problems, as an important research subject in inverse scattering theory, have significant applications in diverse scientific and industrial areas such as antenna design and synthesis, medical imaging, optical tomography, and fluorescence microscopy. Although they have been extensively studied by many researchers, some of the fundamental questions, such as uniqueness, stability, and uncertainty quantification, still remain to be answered. 
In this talk, our recent progress will be discussed on the inverse source problems for acoustic, elastic, and electromagnetic waves. I will present a new approach to solve the stochastic inverse source problem, which is to determine the statistical properties of the random source. The stability will be addressed for the deterministic counterparts of the inverse source problems. We show that the increasing stability can be achieved by using the Dirichlet boundary data at multiple frequencies. Some ongoing  projects will be highlighted in random medium and time-domain inverse problems.

 

举办单位:数学与统计学院
发 布 人:科研助理 发布时间: 2017-07-13
主讲人简介:
李培军,美国普渡大学教授,2005年于美国密歇根州立大学获博士学位,2001年于中科院计算数学所获硕士学位,1998年于武汉大学数学系获学士学位。李培军教授主要从事科学计算、数值分析和偏微分方程应用工作。其研究领域包括偏微分方程反问题的不适定性及优化设计,声波、弹性波以及电磁波在复杂随机介质中的传播,尤其是光学和电磁学中散射和反散射方面的问题。